examples/finitestrain.py

nelems=10 Number of elements along edge.
etype=square Type of elements (square/triangle/mixed).
btype=spline Type of basis function (std/spline).
degree=2 Polynomial degree.
poisson=.25 Poisson's ratio, nonnegative and stricly smaller than 1/2.
angle=20 Rotation angle for right clamp (degrees).
restol=1e-8 Newton tolerance.
trim=yes Create circular-shaped hole.

optimize

solve

solving 48 dof system to machine precision using arnoldi solver

residual decreased by 16.1 orders using 0 krylov vectors

residual decreased by 0.0 orders using 1 krylov vectors

solver returned with residual 3e-17

constrained 48/288 dofs

optimum value 0.00e+00

optimize

solve

solving 240 dof system to machine precision using arnoldi solver

residual decreased by 15.2 orders using 0 krylov vectors

residual decreased by 0.2 orders using 1 krylov vectors

solver returned with residual 1e-15

optimum value 1.20e-01

linear.png

minimize 0%

solve

solving 240 dof system to machine precision using arnoldi solver

residual decreased by 15.1 orders using 0 krylov vectors

residual decreased by 0.3 orders using 1 krylov vectors

residual decreased by 0.0 orders using 2 krylov vectors

solver returned with residual 3e-16

spectrum: 4.7e-01..6.9e+00 (positive definite)

energy -2.49e-02 / e+0.0 and decreasing

minimize 3%

solve

solving 240 dof system to machine precision using arnoldi solver

residual decreased by 14.9 orders using 0 krylov vectors

residual decreased by 0.2 orders using 1 krylov vectors

residual decreased by 0.0 orders using 2 krylov vectors

solver returned with residual 2e-16

spectrum: 3.2e-01..2.5e+00 (positive definite)

energy -2.87e-02 / e+0.5 and decreasing

minimize 6%

solve

solving 240 dof system to machine precision using arnoldi solver

residual decreased by 14.9 orders using 0 krylov vectors

residual decreased by 0.2 orders using 1 krylov vectors

residual decreased by 0.0 orders using 2 krylov vectors

solver returned with residual 2e-16

spectrum: 2.6e-01..4.6e+00 (positive definite)

energy -7.49e-03 / e+1.0 and decreasing

minimize 8%

solve

solving 240 dof system to machine precision using arnoldi solver

residual decreased by 14.8 orders using 0 krylov vectors

residual decreased by 0.3 orders using 1 krylov vectors

residual decreased by 0.0 orders using 2 krylov vectors

residual decreased by 0.0 orders using 3 krylov vectors

solver returned with residual 1e-16

spectrum: 2.3e-01..6.6e+00 (positive definite)

energy -4.21e-03 / e+1.5 and decreasing

minimize 9%

solve

solving 240 dof system to machine precision using arnoldi solver

residual decreased by 14.7 orders using 0 krylov vectors

residual decreased by 0.3 orders using 1 krylov vectors

solver returned with residual 1e-16

spectrum: 2.0e-01..6.5e+00 (positive definite)

energy -3.64e-03 / e+2.0 and decreasing

minimize 11%

solve

solving 240 dof system to machine precision using arnoldi solver

residual decreased by 14.8 orders using 0 krylov vectors

residual decreased by 0.3 orders using 1 krylov vectors

solver returned with residual 7e-17

spectrum: 1.8e-01..6.4e+00 (positive definite)

energy -2.72e-03 / e+2.5 and decreasing

minimize 13%

solve

solving 240 dof system to machine precision using arnoldi solver

residual decreased by 14.7 orders using 0 krylov vectors

residual decreased by 0.3 orders using 1 krylov vectors

solver returned with residual 5e-17

spectrum: 1.6e-01..6.4e+00 (positive definite)

energy -1.61e-03 / e+3.0 and decreasing

minimize 17%

solve

solving 240 dof system to machine precision using arnoldi solver

residual decreased by 14.6 orders using 0 krylov vectors

residual decreased by 0.3 orders using 1 krylov vectors

residual decreased by 0.0 orders using 2 krylov vectors

solver returned with residual 3e-17

spectrum: 1.4e-01..6.1e+00 (positive definite)

energy -7.02e-04 / e+3.5 and decreasing

minimize 21%

solve

solving 240 dof system to machine precision using arnoldi solver

residual decreased by 14.7 orders using 0 krylov vectors

residual decreased by 0.2 orders using 1 krylov vectors

residual decreased by 0.1 orders using 2 krylov vectors

solver returned with residual 1e-17

spectrum: 1.1e-01..6.4e+00 (positive definite)

energy -1.75e-04 / e+4.0 and decreasing

minimize 27%

solve

solving 240 dof system to machine precision using arnoldi solver

residual decreased by 14.7 orders using 0 krylov vectors

residual decreased by 0.2 orders using 1 krylov vectors

residual decreased by 0.0 orders using 2 krylov vectors

solver returned with residual 6e-18

spectrum: 9.8e-02..6.1e+00 (positive definite)

energy -2.57e-05 / e+4.5 and decreasing

minimize 35%

solve

solving 240 dof system to machine precision using arnoldi solver

residual decreased by 14.7 orders using 0 krylov vectors

residual decreased by 0.2 orders using 1 krylov vectors

residual decreased by 0.1 orders using 2 krylov vectors

solver returned with residual 1e-18

spectrum: 8.6e-02..6.4e+00 (positive definite)

energy -1.37e-06 / e+5.0 and decreasing

minimize 46%

solve

solving 240 dof system to machine precision using arnoldi solver

residual decreased by 14.7 orders using 0 krylov vectors

residual decreased by 0.2 orders using 1 krylov vectors

residual decreased by 0.0 orders using 2 krylov vectors

solver returned with residual 2e-19

spectrum: 7.8e-02..6.2e+00 (positive definite)

energy -2.42e-08 / e+5.5 and decreasing

minimize 64%

solve

solving 240 dof system to machine precision using arnoldi solver

residual decreased by 14.7 orders using 0 krylov vectors

residual decreased by 0.2 orders using 1 krylov vectors

residual decreased by 0.0 orders using 2 krylov vectors

solver returned with residual 8e-21

spectrum: 7.3e-02..6.5e+00 (positive definite)

energy -4.29e-11 / e+6.0 and decreasing

minimize 90%

solve

solving 240 dof system to machine precision using arnoldi solver

residual decreased by 14.7 orders using 0 krylov vectors

residual decreased by 0.2 orders using 1 krylov vectors

solver returned with residual 7e-23

spectrum: 6.9e-02..6.2e+00 (positive definite)

energy -4.33e-15 / e+6.5 and decreasing

minimize 100%

converged in 14 steps to residual 3.3e-11

nonlinear.png